Study of nonstatic anisotropic axial structures through perturbation
Abstract
This work is related to the stability of a nonstatic, very restricted class of axially symmetric cosmic matter configuration under the influence of modified gravitational theory (AGT) with a realistic model in anisotropic conditions. We construct dynamically modified equations, continuity equations, mass functions and collapse equations in the scenario of considered AGT. We continue our analysis under the influence of f(R,T) gravity along with a minimally coupled gravitational function of the form f(R,T)=R+βRc(1−(1+R2R2c)−n)+λT, where Rc indicates constant entity. In this gravitational model, f is a function of Ricci scalar invariant R and the trace of the stress–energy tensor T. This gravitational function gives significant findings only for β>0,n>0, and both belong to the set of positive real numbers and also λ≪1. We establish expressions of an adiabatic index, i.e. stiffness parameter of fluid (Γ) utilizing relevant perturbation technique with the help of collapse equation in Newtonian (ℕ) and post-Newtonian (ℙℕ) domains. We consider the particular form of metric as well as material functions in (ℕ) and (ℙℕ) eras, and impose some constraints on physical quantities (i.e. pressure, density, mass, etc.) to carry out the stable behavior of a considered restricted geometry.
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